# Primitive funktion

#### DenOnde

Need a little help here...

what is the primitive funktion of:

$$\displaystyle (0,5x^2)^2$$

and what is the way of finding it?

Best regards

#### shenanigans87

Need a little help here...

what is the primitive funktion of:

$$\displaystyle (0,5x^2)^2$$

and what is the way of finding it?

Best regards
I don't understand the equation you wrote down...

The primitive function is the antiderivative.

So if the function were $$\displaystyle (5x^2)^2=25x^4$$

then the primitive function is $$\displaystyle 5x^5$$ because when you take its derivative, you get $$\displaystyle 25x^4$$

DenOnde

#### DenOnde

aha, it was the outer square of the equation that had me dazzled.

the equation was: $$\displaystyle ((x^2)/2)^2$$

so that correct answer should be:
$$\displaystyle 0,05x^5$$?

Thanx for the quick reply by the way

#### shenanigans87

aha, it was the outer square of the equation that had me dazzled.

the equation was: $$\displaystyle ((x^2)/2)^2$$

so that correct answer should be:
$$\displaystyle 0,05x^5$$?

Thanx for the quick reply by the way
The answer would be $$\displaystyle \frac{x^5}{20}+C$$

the C is necessary because its some unknown constant.

DenOnde

#### DenOnde

Not in this case

I was looking for the primitiv form in a integral so the C is not necessery this time

Thank you for the help!
Really appreciate it